Joe Jagger, a former schoolteacher, was admitted to a hospital in Kingston, Surrey, outside London, more than a week ago after falling in his home, the spokesman said on condition of anonymity.
Mick Jagger, 63, who has been in the United States on the Stones' "A Bigger Bang" tour, traveled to Britain Friday to see his father and flew back to Las Vegas later the same day. He was to perform there Saturday night, the spokesman said, adding that the show would go ahead as scheduled.
The spokesman said the Jagger family would not make any further comment. He gave no details of Joe Jagger's funeral, saying only that it would be private.
Mick Jagger's mother, Eva, died in 2000. She and Joe Jagger had two children, Mick and Chris.